On the Kontsevich-Kuperberg-Thurston construction of a configuration-space invariant for rational homology 3-spheres - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2004

On the Kontsevich-Kuperberg-Thurston construction of a configuration-space invariant for rational homology 3-spheres

Christine Lescop

Résumé

M. Kontsevich proposed a topological construction for an invariant Z of rational homology 3-spheres using configuration space integrals. G. Kuperberg and D. Thurston proved that Z is a universal real finite type invariant for integral homology spheres in the sense of Ohtsuki, Habiro and Goussarov. We review the Kontsevich-Kuperberg-Thurston construction and we provide detailed and elementary proofs for the invariance of Z. This article is the preliminary part of a work that aims to prove splitting formulae for this powerful invariant of rational homology spheres. It contains the needed background for the proof that will appear in the second part.

Dates et versions

hal-00381810 , version 1 (06-05-2009)

Identifiants

Citer

Christine Lescop. On the Kontsevich-Kuperberg-Thurston construction of a configuration-space invariant for rational homology 3-spheres. 2004. ⟨hal-00381810⟩

Collections

CNRS FOURIER
35 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More